NABL 122-02

NATIONAL ACCREDITATION BOARD FOR

TESTING AND CALIBRATION
LABORATORIES

SPECIFIC CRITERIA
for CALIBRATION LABORATORIES
IN MECHANICAL DISCIPLINE :
MASS (Weights)
MASTER COPY
Reviewed by Approved by

Quality Officer Director, NABL

ISSUE No. : 05 AMENDMENT No. : 00

ISSUE DATE: 12.08.2014 AMENDMENT DATE:
 AMENDMENT SHEET

Sl Page Clause Date of Amendment Reasons Signature Signature

no No. No. Amendment made QO Director
1

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National Accreditation Board for Testing and Calibration Laboratories

Doc. No: NABL 122-02 Specific Criteria for Calibration Laboratories in Mechanical Discipline – Mass (Weights)
Issue No: 05 Issue Date: 12.08.2014 Amend No: 00 Amend Date: - Page No: 1 of 22
Sl. No. Contents Page No.

1 General Requirements
1.1 Scope 3
1.2 Calibration Measurement Capability(CMC) 3
1.3 Personnel, Qualification and Training 3-4
1.4 Accommodation and Environmental Conditions 4-5
1.5 Special Requirements of Laboratory 5
1.6 Safety Precautions 5-6
1.7 Other Important Points 6
1.8 Proficiency Testing 6
2 Specific Requirements - Calibration of Weights
2.1 Scope 7
2.2 National/ International Standards, References and Guidelines 7
2.3 Metrological Requirements 7-8
2.4 Terms & Definitions 8-9
2.5 Selection of Reference Weights 9
2.6 Selection of Comparator/ Balance 9-10
2.7 Calibration Interval 10
2.8 Legal Aspects 11
2.9 Environmental Conditions 11-12
2.10 Calibration Methods 13
2.11 Determination of Air Density and its Uncertainty 13-15
Equations for Determination of Conventional Mass, True Mass
2.12 15-18
and their Uncertainties
2.13 Measurement Uncertainty 19
2.14 Reporting of Results 19
2.15 Evaluation of CMC 19-20
2.16 Sample Scope 20
2.17 Minimum Requirement for Accreditation 20
2.18 Maximum Permissible Error & Uncertainty Chart 21
Calibration of Newton Weights, Pressure Balance Weights and Non-
2.19 22
Metric Weights
2.20 Key Points 22

National Accreditation Board for Testing and Calibration Laboratories

Doc. No: NABL 122-02 Specific Criteria for Calibration Laboratories in Mechanical Discipline – Mass (Weights)
Issue No: 05 Issue Date: 12.08.2014 Amend No: 00 Amend Date: - Page No: 2 of 22
1 General Requirement:

• The purpose of this document is to specify requirements with which a laboratory has to operate and
demonstrate its competency to carry out calibration in accordance with ISO/IEC 17025:2005.

• To achieve uniformity between the laboratories, assessors and assessment process in terms of
maximum permissible error, CMC, measurement uncertainty etc in line with National/International
standards.

• To achieve uniformity in selection of equipment’s, calibration methods, maintaining required

environmental conditions, personnel with relevant qualification and experience.

1.1 Scope

This specific criteria lays down the specific requirements in calibration of weights under mechanical
discipline. This part of the document thus amplifies the specific requirements for calibration of weights
and supplements the requirements of ISO/IEC 17025:2005.

1.2 Calibration and Measurement Capability (CMC)

1.2.1 CMC is one of the parameters that is used by NABL to define the scope of an accredited
calibration laboratory, the others being parameter/quantity measured, standard/master used,
calibration method used and measurement range. The CMC is expressed as “the smallest
uncertainty that a laboratory can achieve when calibrating the best existing device”. It is an
expanded uncertainty estimated at a confidence level of approximately 95% corresponding to a
coverage factor k=2.

1.2.2 For evaluation of CMC laboratories should follow NABL 143 - Policy on Calibration and
Measurement Capability (CMC) and Uncertainty in Calibration.

1.3 Personnel, Qualification and Training

1.3.1 Technical Personnel:
1.3.1.1 Qualification required for carrying out calibration activity:

The following are the specific requirements. However, qualification and experience
will not be the only criteria for the required activity. They have to prove their skill,
knowledge and competency in their specific field of calibration activity.

a) B.E / B.Tech or M.Sc. (having Physics as one of the subject) degree with 3
months experience in Basics of Mass Metrology.

b) B.Sc (with Physics as one of the subject) or Diploma with 6 months experience in
Basics of Mass Metrology.

c) ITI with 1 year of experience in Basics of Mass Metrology.

1.3.1.2 Training and experience required:

a) Training may be external/ internal depending on the expertise available in the

field.

b) Training in Mass Metrology and in Uncertainty Measurements, CMC including

statistical analysis for Technical Manager.
National Accreditation Board for Testing and Calibration Laboratories
Doc. No: NABL 122-02 Specific Criteria for Calibration Laboratories in Mechanical Discipline – Mass (Weights)
Issue No: 05 Issue Date: 12.08.2014 Amend No: 00 Amend Date: - Page No: 3 of 22
 c) Experience and competence in Basics of Mass Metrology.

d) Sufficient knowledge about handling of reference equipment, maintenance,

traceability, calibration procedure and effect of environmental conditions on the
results of calibration.

e) During training calibration activity should be done under supervision.

1.3.2 Authorised Signatory:

1.3.2.1 Qualification required for interpretation of results and signing the calibration
certificates:

The following are only guidelines. However, qualification and experience will not be
the only criteria for the required activity. They have to prove their skill, knowledge
and competency in analysis and interpretation of calibration results.

a) B.E / B.Tech or M.Sc. (with having Physics as one of the subject) degree with 6
months experience in Mass Metrology.

b) B.Sc. (with Physics as one of the subject) or Diploma with 1 year experience in
Mass Metrology.

1.3.2.2 Training and experience required:

a) Training may be external/ internal depending on the expertise available in the

field

b) Training, Experience and Competence in Mass Metrology and Training in

Uncertainty Measurements, CMC including statistical analysis for Technical
Manager.

c) Sufficient knowledge and competence in effective implementation of ISO/IEC

17025, specific criteria and NABL guidelines.

d) Competency in reviewing of results, giving opinion and interpretations.

e) During training the relevant activity has to be done under supervision

1.4 Accommodation and Environmental Conditions

Accommodation and environmental conditions adversely affect the results of calibration and
measurement accuracy unless they are controlled and monitored. Hence, they play a very important role.

The influencing parameters may be one or more of the following i. e. temperature, relative humidity,
atmospheric pressure, vibration, acoustic noise, dust, air currents/draft, illumination (wherever
applicable), voltage fluctuations, electrical earthing and direct sunlight etc., depending on the nature of
calibration services provided. The variables described above can play a major factor on calibration
results.

The laboratories are advised to follow the requirement of accommodation and environment depending
on the types of services provided as recommended

• By the manufacturers of the reference equipment.

National Accreditation Board for Testing and Calibration Laboratories

Doc. No: NABL 122-02 Specific Criteria for Calibration Laboratories in Mechanical Discipline – Mass (Weights)
Issue No: 05 Issue Date: 12.08.2014 Amend No: 00 Amend Date: - Page No: 4 of 22
 • By the manufacturers of the Unit under calibration.

• As specified in the National/ International Standards or guidelines followed for the calibration.

The environmental monitoring equipments used should also meet the requirement of manufacturers’
recommendations and specifications as per the relevant standards followed.

If, accommodation and environmental conditions are not specified either by manufacturer or by
National/International standards / guidelines, the laboratory shall follow the below recommendations.

1.4.1 Vibration

The calibration area shall be free from vibrations generated by central air-conditioning plants,
vehicular traffic and other sources to ensure consistent and uniform operational conditions. The
laboratory shall take all special/ protective precautions like mounting of sensitive apparatus on
vibration free tables and pillars etc., isolated from the floor, if necessary.

1.4.2 Acoustic Noise

Acoustic noise level in the laboratory shall be maintained to facilitate proper performance of
calibration work. Noise level shall be maintained less than 60 dBA, wherever it affects
adversely the required accuracy of measurement.

1.4.3 Illumination

The calibration area shall have adequate level of illumination. Where permissible, fluorescent
lighting is preferred to avoid localized heating and temperature drift. The recommended level
of illumination is 250-500 lux on the working table.

1.4.4 Environmental Conditions and Monitoring

The environmental conditions for the activity of the laboratory shall be such as not to adversely
affect the required accuracy of measurement. Facilities shall be provided whenever necessary
for recording temperature, pressure and humidity values prevailing during calibration. The
atmospheric conditions maintained in the laboratory during calibration shall be reported in the
calibration report/ certificate.

1.5 Special Requirements of Laboratory

1.5.1 The calibration laboratory shall make arrangements for regulated and uninterrupted power
supply of proper rating. The recommended voltage regulation level is ±2% or better, and
Frequency variation ± 2.5Hz or better on the calibration bench.

1.5.2 The reference standards shall be maintained at temperatures specified for their maintenance on
order to ensure their conformance to the required level of operation.

1.5.3 The laboratory shall take adequate measures against dust and external air pressure.

1.6 Safety Precautions

1.6.1 Relevant fire extinguishing equipment for possible fire hazards, shall be available in the
corridors or convenient places in the laboratory. Adequate safety measures against electrical,
chemical fire hazards must be available at the work place. Laboratory rooms/ areas where

National Accreditation Board for Testing and Calibration Laboratories

Doc. No: NABL 122-02 Specific Criteria for Calibration Laboratories in Mechanical Discipline – Mass (Weights)
Issue No: 05 Issue Date: 12.08.2014 Amend No: 00 Amend Date: - Page No: 5 of 22
 highly inflammable materials are used/ stored shall be identified. Access to the relevant fire
equipment shall be assured near these rooms/ areas.

1.6.2 Specification SP 31- 1986, a special publication in the form of a wall chart, giving the method
of treatment in case of electric shock, should be followed. The chart shall be placed near the
power supply switchgear and at other prominent places as prescribed under Indian Electricity
Rules 1956.

1.6.3 Effective mains earthing shall be provided in accordance with relevant specification IS: 3043.
This shall be periodically checked to ensure proper contact with earth rod.

1.7 Other Important Points

1.7.1. Entry to the Calibration Area: As far as possible, only the staff engaged in the calibration
activity shall be permitted entry inside the calibration area.

1.7.2. Space in Calibration Area: The calibration Laboratory shall ensure adequate space for
calibration activity without adversely effecting the results.

1.8 Proficiency Testing

To give further assurance to the accuracy or Uncertainty of measurements, a laboratory will be required
to participate, from time to time, in Proficiency Testing Program. The laboratory shall remain prepared
to participate in the Proficiency Testing Program through inter-laboratory, inter-comparison schemes
wherever it is technically feasible. (Ref. NABL 162, 163 and 164 for further details)

National Accreditation Board for Testing and Calibration Laboratories

Doc. No: NABL 122-02 Specific Criteria for Calibration Laboratories in Mechanical Discipline – Mass (Weights)
Issue No: 05 Issue Date: 12.08.2014 Amend No: 00 Amend Date: - Page No: 6 of 22
2. Specific Requirement – Calibration of Weights
2.1 Scope: Calibration of Weights

Specific Requirements for calibration of weights with following details:

Sl. Description Relevant Permanent Onsite Mobile

No. Standard facility calibration facility

1 Weights (E 1 , E 2 , F 1 , OIML-R 111-1 √ X X

F 2, M 1, M 2, M 3 )

Note 1: Newton weights, non-metric weights can also be calibrated to accuracy class equivalent to
OIML R111 -1. However, the conventional mass values and its uncertainty should be given in
SI units.

Note 2: This technical requirement is based on the above mentioned guideline. Lab may follow
any relevant standard, however care shall be taken to follow the requirements in totality.

Note 3: ASTM standard weights can also be calibrated if the relevant standard is followed in total.

Note 4: Laboratory shall apply for calibration and not for verification of Weights. Verification may
require approval from Dept. of Legal Metrology, Regulatory Bodies, etc.

2.2 National/ International Standards, References and Guidelines

• OIML R111-1-2004 Metrological and technical requirement of weights Classes E 1 , E 2 , F 1 , F 2 , M 1 ,

M2, M3.

• OIML D28 2004: Conventional value of the result of weighing in air.

• ASTM E617 - 13 Standard Specifications for Laboratory Weights and Precision Mass Standards.

• OIML R 47 Edition 1079(E) - Standard weights for testing of high capacity weighing machines.

2.3 Metrological Requirements

2.3.1 For Each weight, the expanded uncertainty, U, for k=2, of the conventional mass, shall be less
than or equal to one third of the maximum permissible error.

2.3.2 For each weight, the conventional mass, m c (determined with an expanded uncertainty, U,
according to 5.2 of OIML R-111-1) shall not differ from the nominal value of the weights, m0
by more than the maximum permissible error, δm minus the expanded uncertainty.

m 0 – (δm-U) ≤ m c ≤ m 0 + (δm-U)

2.3.3 For class E 1 and E 2 weights, which are always accompanied by certificates giving the
appropriate data, the deviation from the nominal value, m c -m 0 , shall be taken into account by
the user.

2.3.4 Calibration certificate shall state, as a minimum: the conventional mass of each weight, mc an
indication of whether a weight has been adjusted prior to calibration, its expanded uncertainty
U and the values of the coverage factor k.

National Accreditation Board for Testing and Calibration Laboratories

Doc. No: NABL 122-02 Specific Criteria for Calibration Laboratories in Mechanical Discipline – Mass (Weights)
Issue No: 05 Issue Date: 12.08.2014 Amend No: 00 Amend Date: - Page No: 7 of 22
 2.3.5 The certificate for class E 1 weights shall state, as a minimum, the values of conventional mass,
m c , the expanded uncertainty, U, and the coverage factor k and density or volume for each
weight. In addition, the certificate shall state if the density or volume was measured or
estimated.

2.3.6 The certificate for class E 2 weights shall state, as a minimum, the value of conventional mass
m c, of each weight, the expanded uncertainty, U, and the coverage factor k.

2.3.7 Altitude and corresponding changes in air density can affect the measurement error when
using the conventional mass of weight; therefore, the buoyancy correction shall be used,
which requires the density of the weight to be known. If class E weights are to be used above
330 m, the density of the weights shall be provided along with their associated uncertainty for
Class F1 the same is true above 800 m. Otherwise, the manufacturer shall take the lowered
buoyancy affect at higher altitude in to consideration in specifying the weights class for the
standards of conventional mass.

2.4 Terms & Definitions

Accuracy Class
• Class designation of a Weight or Weight set which meets certain metrological requirements intended
to maintain the mass values within the specified limit.

Buoyancy Correction
• A buoyancy correction is the correction applied when Weights of different densities are compared
with each other during the calibration process, the buoyancy being a result of the upward force when
the weight is immersed in a fluid / air during the weighing process.

Conventional Mass (Conventional Value of the Mass)

• Conventional value of the result of weighing in air, in accordance with OIML D-28 (conventional
value of the result of weighing in air) for a weight taken at a reference temperature of 20°C, The
conventional mass of a body is the mass of a standard weight of density 8000 kg/m3 at 20°C which
balances this body in air of density 1.2 kg/m3.

True Mass
• The true mass of a body relates to the amount of material it contains. The prefix true is added to the
word mass where it is important to make it clear that a particular mass being considered is not a
conventional mass value and it is important to avoid potential ambiguity. The International prototype
kilogram, on which the International mass scale is realized, is defined as a true mass of exactly 1
kilogram. Most high accuracy comparisons are performed on a true mass basis, and converted to
conventional mass when quoted on a certificate.

• The concept of true mass (mass in vacuum) might be appropriately described as a theoretical
comparison of a mass against a reference standard mass (with a known value) on a equal arm
balance inside a vacuum chamber. Although this scenario is impossible to achieve, one can easily
understand that such an arrangement, were it possible, would remove any influence on the weighing
process from the buoyant effect of air.

Discriminations / Sensitivity
• Sensitivity is the smallest change in mass that can be detected by the weighing Instrument. For
practical purpose discrimination is synonymous with readability. Discrimination is also synonymous
with the sensitivity of an analog weighing Instrument.

National Accreditation Board for Testing and Calibration Laboratories

Doc. No: NABL 122-02 Specific Criteria for Calibration Laboratories in Mechanical Discipline – Mass (Weights)
Issue No: 05 Issue Date: 12.08.2014 Amend No: 00 Amend Date: - Page No: 8 of 22
 Readability
• The smallest scale division or digital interval of the weighing Instrument. For same mechanical
weighing Instruments the scale marks may be sufficiently far apart for an estimation to be made of
the actual weighing instrument reading when the pointer lies between two scale marks. The
estimated readability may therefore be lower than the marked readability.

Resolution
• The readability expressed as a portion of the capacity. For example a weighing Instrument with a
capacity of 3000g and a readability of 0.1g has a resolution of 1 part in 30000.

Scale Interval
• The value expressed in units of Mass of in the case of analog indication, the difference between the
values that correspond to two scale marks. In the case of digital Indication, the difference between
two consecutively indicated values.

Weight
• A material measure of mass, regulated in regard to its physical and metrological characteristics:
Shape, Mass, material, surface quality, nominal value and maximum permissible error.

2.5 Selection of Reference Weights

The reference weight shall generally be of a higher class of accuracy than the weight to be calibrated. In
the calibration of weights of class E 1 , the reference weight shall have similar or better metrological
characteristics (magnetic properties, surface roughness) than the weights to be calibrated [refer C.2.3 of
OIML R 111-1, 2004 for more details].

Class of Weights that can be Calibrated

Weight that can be

used as Reference
E1 E2 F1 F2 M1 M2 M3

E1 √ √ √ √ √ √ √
E2 - - √ √ √ √ √
F1 - - - √ √ √ √
F2 - - - - √ √ √

Note: Standard weights of each class shall have the technical requirements such as shape,
construction, material, marking etc as per OIML R111. M1, M2, and M3 class weights are not
recommended to be used as a reference for the calibration of weights. However, M1 weights can
be used for above 20kg with coarser uncertainty.

2.6 Selection of Comparator/Balance

On the basis of the accuracy class, a mass comparator is to be selected in such a way that its uncertainty
component is balanced in proportion to the overall uncertainty of the weighing result. The most
important uncertainty component of a mass comparator is calculated from its standard deviation. The
specification of the manufacturer can be selected as a first approximation for the value of a standard
deviation. It must be taken into account. However, that this indication is decisive for the smallest
nominal value. It should therefore not exceed an amount of 30% of the combined standard uncertainty
u1 (k=2).

National Accreditation Board for Testing and Calibration Laboratories

Doc. No: NABL 122-02 Specific Criteria for Calibration Laboratories in Mechanical Discipline – Mass (Weights)
Issue No: 05 Issue Date: 12.08.2014 Amend No: 00 Amend Date: - Page No: 9 of 22
 2.6.1 Example:

Permissible Uncertainty required

Weight to be Standard Deviation of the
Class Error as per (1/3 of the error)
Calibrated Comparator required =
OIML R 111 with k=2
(0.002)/3 mg
1 mg E2 0.006 mg 0.002 mg
S ≤ 0.00067 mg

Note: It is not recommended to calibrate a higher accuracy class weight with a lower accuracy class of
reference weight and comparator/balance with coarser resolution without the consent of the
customer.

2.6.2 Selection of comparator balance for calibration of weights depending on class of accuracy:

E1 E2 F1 F2 M1 M2 M3
Nominal Value
Standard Deviation of Repeatability in mg
5000 kg 2778 8889 27778 88889 277778
2000 kg 1111 3333 11111 33333 111111
1000 kg 178 556 1778 5556 17778 55556
500 kg 89 278 889 2778 8889 27778
200 kg 33 111 333 1111 3333 11111
100 kg 17.8 56 178 556 1778 5556
50 kg 2.78 8.9 28 89 278 889 2778
20 kg 1.11 3.3 11 33 111 333 1111
10 kg 0.56 1.78 6 18 56 178 556
5 kg 0.28 0.89 2.8 8.9 28 89 278
2 kg 0.11 0.33 1.11 3.3 11.1 33 111
1 kg 0.056 0.178 0.556 1.78 5.56 17.8 56
500 g 0.028 0.089 0.278 0.89 2.78 8.89 28
200 g 0.011 0.033 0.111 0.33 1.11 3.33 11.1
100 g 0.006 0.018 0.056 0.18 0.556 1.78 5.56
50 g 0.0033 0.011 0.034 0.11 0.333 1.11 3.33
20 g 0.0028 0.009 0.028 0.089 0.278 0.889 2.78
10 g 0.0022 0.007 0.022 0.067 0.222 0.667 2.22
5 g 0.0018 0.006 0.018 0.056 0.178 0.556 1.78
2 g 0.0013 0.004 0.013 0.044 0.133 0.444 1.33
1 g 0.0011 0.0034 0.011 0.033 0.111 0.333 1.11
500 mg 0.0009 0.0028 0.009 0.028 0.089 0.278 8.89
200 mg 0.0007 0.0022 0.007 0.022 0.067 0.222
100 mg 0.0006 0.0018 0.006 0.018 0.056 0.178
50 mg 0.0004 0.0013 0.004 0.013 0.044
20 mg 0.0003 0.0011 0.0034 0.011 0.034
10 mg 0.0003 0.0009 0.0028 0.009 0.028
5 mg 0.0003 0.0007 0.0022 0.006 0.022
2 mg 0.0003 0.0007 0.0022 0.006 0.022
1 mg 0.0003 0.0007 0.0022 0.006 0.022

2.7 Calibration Interval

For the reference Weights and comparators used in calibration of Weights at permanent lab facility

Reference Equipment Recommended Interval

Weights of E 1 and E 2 class 3 years
Weights of class F 1 to M 1 2 years
Comparator / Balance 1 year

Note: Based on the historical data validity of reference weights may be extended upto 5 years for E 1 .

National Accreditation Board for Testing and Calibration Laboratories

Doc. No: NABL 122-02 Specific Criteria for Calibration Laboratories in Mechanical Discipline – Mass (Weights)
Issue No: 05 Issue Date: 12.08.2014 Amend No: 00 Amend Date: - Page No: 10 of 22
2.8 Legal Aspects

Calibration of weights done by any accredited laboratories is meant for scientific and industrial purpose
only. However, if used for commercial trading, additional recognition/ approval shall be complied as
required by Dept. of Legal metrology, Regulatory bodies, etc. This should be clearly mentioned in the
calibration certificate issued to the customer.

2.9 Environmental Conditions required for Calibration and Requirement of Environment

Monitoring System

2.9.1 Environmental Conditions

2.9.1.1 Laboratory is advised to follow Manufacturer’s recommendation for environmental

conditions, operation and maintenance of weights, weighing balance, comparator, etc.

2.9.1.2 Accuracy or reliability of weighing results is closely connected with the place where,
mass comparators are installed, and also with the weights used, with the measuring
room conditions and operator's skill. The place of installation (measuring room) for
mass comparators shall be designed in such a way that, the disturbances of the
environment do not affect the result. Manufacturer’s recommendation shall be
considered.

2.9.2 The calibration of weights shall be performed at suitable conditions under ambient atmospheric
pressure at temperatures closer to room temperature (1) Typical recommended values are given
below:

Weight Temperature change during Calibration(2) Range of Relative Humidity of the

Class Air(3)
± 0.3˚C per hour with a maximum of ± 0.5˚C per 40% to 60% with a maximum of ±
E1
12 hours 5% per 4 hours
± 0.7˚C per hour with a maximum of ± 1˚C per 12 40% to 60% with a maximum of ±
E2
hours 10% per 4 hours
± 1.5˚C per hour with a maximum of ± 2˚C per 12
F1
hours 40% to 60% with a maximum of ±
± 2˚C per hour with a maximum of ± 3.5˚C per 12 15% per 4 hours
F2
hours
± 3˚C per hour with a maximu m of ± 5̊C per 12
M1
hours

Note (1): It is also important that the difference in temperature between the weights and the air
inside the mass comparator is as small as possible. Keeping the reference weight and
the test weight inside the mass comparator before and during the calibration to
reduce the temperature difference.

Note (2): This is the change in the temperature of the laboratory. Thermal stabilization of
balances and weights also requires an appropriate temperature stability of laboratory
for 24 hours before calibration.

Note (3): The upper limit is mainly important when storing the weight.For E1 and E2 class
weights, the temperature should be within ˚C 18
to 27˚C. The environmental
conditions shall be within the specifications of the weighing instruments.

2.9.3 Recommended Environment Monitoring Equipments

• Temperature with a resolution of 0.1˚C.

National Accreditation Board for Testing and Calibration Laboratories
Doc. No: NABL 122-02 Specific Criteria for Calibration Laboratories in Mechanical Discipline – Mass (Weights)
Issue No: 05 Issue Date: 12.08.2014 Amend No: 00 Amend Date: - Page No: 11 of 22
 • Humidity with a resolution of 1% RH
• Barometer with 1 mbar

However, laboratory shall evaluate the requirement of accuracy, resolution and uncertainty
depending on the CMC aimed at.

2.9.4 Thermal Stabilization Requirement for Test Weights

2.9.4.1 Thermal stabilization

• Prior to performing any calibration, the weights need to be acclimated to the ambient
conditions of the laboratory. In particular, weights of classes E 1 , E 2 and F 1 shall be
close to the temperature in the weighing area.

• The mandatory minimum times required for temperature stabilization (depending on

weight size, weight class and on the difference between the initial temperature of the
weights and the room temperature in the laboratory) are shown in Table below. As a
practical guideline, a waiting time of 24 hours is recommended.

2.9.4.2 Thermal stabilization in hours:

∆T* Nominal value Class E1 Class E2 Class F1 Class F2

1 000, 2 000, 5 000 kg - - 79 5
100, 200, 500 kg - 70 33 4
10, 20, 50 kg 45 27 12 3
± 20 °C
1, 2, 5 kg 18 12 6 2
100, 200, 500 g 8 5 3 1
10, 20, 50 g 2 2 1 1
< 10 g 1 0.5
1 000, 2 000, 5 000 kg - - 1 1
100, 200, 500 kg - 40 2 1
10, 20, 50 kg 36 18 4 1
± 5 °C 1, 2, 5 kg 15 8 3 1
100, 200, 500g 6 4 2 0.5
10, 20, 50 g 2 1 1 0.5
< 10 g 0.5
1 000, 2 000, 5 000 kg - - 1 0.5
100, 200, 500 kg - 16 1 0.5
± 2 °C 10, 20, 50 kg 27 10 1 0.5
1, 2, 5 kg 12 5 1 0.5
100, 200, 500 g 5 3 1 0.5
< 100 g 2 1 0.5
1 000, 2 000, 5 000 kg - - - -
100, 200, 500 kg - 1 0.5 0.5
10, 20, 50 kg 11 1 0.5 0.5
± 0.5°C
1, 2, 5 kg 7 1 0.5 0.5
100, 200, 500 g 3 1 0.5
< 100 g 1 0.5

∆T* = Initial difference between weight temperature and laboratory temperature.

Note: Thermal stabilization hours before calibration should be clearly mentioned in

the certificate issued to the customer.

National Accreditation Board for Testing and Calibration Laboratories

Doc. No: NABL 122-02 Specific Criteria for Calibration Laboratories in Mechanical Discipline – Mass (Weights)
Issue No: 05 Issue Date: 12.08.2014 Amend No: 00 Amend Date: - Page No: 12 of 22
2.10 Calibration Methods

There are two methods for determination of conventional mass of weights in a weight set.

2.10.1 Direct Comparison Method

Minimum Number of Weighing Cycles (as per OIML R-111-1)

Class E1 E2 F1 F2 M 1, M 2 , M 3
Min. number of ABBA 3 2 1 1 1
Min. number of ABA 5 3 2 1 1
Min. number of AB 1 ...B n A 5 3 2 1 1

2.10.2 Sub -Division/Sub-Multiplication Method (Ref. C.3.2 of OIML)

Reference Weights Vs 5+2+2*+1

Reference Weights Vs 5+2+2*+1*
5 Vs 2+2*+1
5 Vs 2+2*+1*
2+1 Vs 2*+1*
2+1 Vs 2+1
2+1* Vs 2*+1
2+1* Vs 2*+1
2 Vs 1+1*
2 Vs 1+1*
2* Vs 1+1*
2* Vs 1+1*

Note: Method used for calibration should be clearly mentioned in the calibration certificate
issued to the customer.

2.11 Determination of Air Density and its Uncertainty

2.11.1 In 2008 CIPM recommended that the following equation be used to determine ρa the density
of Air

ρ a = [3.483740+1.4446*(x co2 – 0.0004)]*10-3 *p/ZT*(1-0.378*x v )

Where, ρ a : Density of air in kg/m3

x CO2 : The mole fraction of carbon diaoxide (assumed 400 ppm, if not measured)
p : pressure
Z : compressibility
x v : mole fraction of water vapor
T : Thermodynamic temperature using ITS-90

2.11.1.1 Mole fraction of water vapor, x v

The mole fraction of water vapor, xv that is a function of the relative humidity, rh
or dew-point temperature tr, an enhancement factor, f and the moist air saturation
vapor pressure, psv is given as follows:

x v = rhf(p,t)* p sv (t)/p = f(p,t r ) * p sv (t r )/p

Where, rh : relative humidity in fraction

National Accreditation Board for Testing and Calibration Laboratories
Doc. No: NABL 122-02 Specific Criteria for Calibration Laboratories in Mechanical Discipline – Mass (Weights)
Issue No: 05 Issue Date: 12.08.2014 Amend No: 00 Amend Date: - Page No: 13 of 22
 p : pressure in mbar
t : temperature in °C
psv(t) : saturation vapor pressure of moist air
tr : dew-point temperature

2.11.1.2 The moist air saturation vapor pressure, psv can be calculated using the following
equation:

Where A, B, C, D are the vapor pressure constant parameters at saturation. The

recommended values are as given in Table 2.

2.11.1.3 Enhancement Factor, f

The enhancement factor can be calculated using the following equation:

f = α + βp + γt2

Where α, β, γ are constants of enhancement factor. The recommended values are as

given in Table below.

2.11.1.4 The compressibility factor, Z

The compressibility factor, Z, can be calculated using the following equation:

Where a 0 , a 1 , a 2 , b 0 ,b 1 , c 0 , c 1 , d, e are the compressibility factor constants. The

recommended values are as given in Table below.

2.11.1.5 Table: Recommended Values for Constants of Psv (A, B, C, D), f (α, β, γ) and
Z (a 0 , a 1 , a 2 , b 0 , b 1 , c 0 , c 1 , d, e)

Psv f Z
1991 1991 1991
Constant Recommended Unit Constant Recommended Unit Constant Recommended Unit
value value value
A 1.2378847 × 10-5 K-2 α 1.00062 a0 1.58123 × 10-6 KPa-1
B -1.9121316 × 10-2 K-1 β 3.14 × 10-8 Pa-1 a1 -2.9331 × 10-8 Pa-1
C 33.93711047 γ 5.60 × 10 -7
K -2
a2 1.1043 × 10-10 K-1Pa-1
D -6.3431645 × 103 K b0 5.707 × 10-6 KPa-1
b1 -2.051 × 10-8 Pa-1
c0 1.9898 × 10-4 KPa-1
c1 -2.376 × 10-6 Pa-1
d 1.83 × 10-11 K2Pa-2
e -7.65 × 10-8 K2Pa-2

2.11.2 Approximation Formula as per OIML R-111-1: 2004 (Page No. 76)

ρa = 0.34848p -0.009*h*exp(0.061*t)
273.15+t (E-3.1 OIML)

National Accreditation Board for Testing and Calibration Laboratories

Doc. No: NABL 122-02 Specific Criteria for Calibration Laboratories in Mechanical Discipline – Mass (Weights)
Issue No: 05 Issue Date: 12.08.2014 Amend No: 00 Amend Date: - Page No: 14 of 22
 Where, Pressure (p) in mbar, temperature (t) inº C and humidity (h) in % Equation(E-3.1) has
a relative uncertainty of 2 X 10-4 in the range 900hPa < p<1100hPa, 10 º C<t<30 º C and
rh< 80%.

2.11.3 For class E1 weights, the density of air should always be determined based o corresponding
measurements. However, the following approximation equation is a way to estimate air
density at laboratories that have no means of determining the air density at the site. The height
above sea level is always known. Therefore, if the air density is not measured, it should be
calculated as a mean value for the laboratory site as follows:

-ρ 0
ρa = ρ 0 * exp *gh
P0
Where p 0 = 101325 Pa
ρ 0 = 1.2 kg/m3
g = 9.81 m/s 2
h = height above sea level expressed in meter.

2.11.4 The Standard Uncertainty of Air Density is given by:

[From OIMLR111-1:2004(E),page 68,equation C.6.3-3 ]

u2ρ a = u2 F +(δρ a /δp*u P )2+ (δρ a /δT*u T )2+(δρ a /δrh*u rh )2

Where,
uF = 10-4 ρ a , uncertainty of the formula used to calculate air density
δρa/δp = 10-5 ρ a * Pa -1
δρa/δΤ = (-3.4*10-3* ρ a * K -1)
δρa/δrh = (-10-2 ρ a )
up = uncertainty of pressure in mbar
uT = uncertainty of temperature in º C
u rh = uncertainty of relative humidity %RH

2.12 Equations for Determination of Conventional Mass, True mass and their uncertainties

2.12.1 Determination of Conventional Mass with reference to volume of the reference and test
Weights

2.12.1.1 Equation for Determination of Conventional Mass

m ct =[m cr + (V t - V r )(ρ a -ρ 0 )+ ∆m w ]

Where,
V t = Volume of the test weight
V r = Volume of the reference weight
m ct = Conventional mass of test weight
m cr = Conventional mass of reference weight
ρ a = Density of Air during calibration in kg/m3
ρ 0 = Density of Air (Conventional) 1.2 kg/m3
∆m w = difference in mass observed using ABBA weighing cycle.
Note: Vt and Vr can be calculated from density and the nominal mass of the
weights.

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Doc. No: NABL 122-02 Specific Criteria for Calibration Laboratories in Mechanical Discipline – Mass (Weights)
Issue No: 05 Issue Date: 12.08.2014 Amend No: 00 Amend Date: - Page No: 15 of 22
 2.12.1.2 Equation for Air Buoyancy Correction

From the equation of the Clause 8.12.1.1, the term air buoyancy correction (B.C.)
is:

B.C. = (Vt – Vr).(ρa –ρ 0 )

2.12.1.3 Equation for Determining the Uncertainty due to Air Buoyancy Correction
u'b2 = (V t - V r )2*uρ a 2+ (uv t 2 + uv r 2)*(ρ a-
ρ 0 )2
Note: If, the volume is determined from known density and mass values and
their uncertainties, uncertainty of volume (uV t ) can be calculated by the
relation uV t = uρ t /ρ τ ∗V t for test weight and similarly for the reference
weight.

2.12.2 Determination of Conventional Mass with reference to Density of the Reference and
Test Weights

2.12.2.1 Equation for Determination of Conventional Mass

m ct = m cr (1+C)+∆m w

Where,
m ct = Conventional mass of test weight
m cr = Conventional mass of reference weight
C= Buoyancy correction factor
∆m w = Difference in weight by ABBA method

2.12.2.2 Buoyancy Correction Factor for Conventional Mass

C = [(ρ a - ρ 0 ) (1/ρ t )-(1/ρ r )]

Where,
ρr = Density of Reference Weight in kg/m3
ρt = Density of Test Weight in kg/m3
ρa = Density of Air during Calibration in kg/m3
ρ0 = Density of Air (Conventional) 1.2 kg/m3

2.12.2.3 Uncertainty in Air Buoyancy Correction

Formula for calculation of uncertainty in air Buoyancy correction in

Conventional Mass calculation to be verified:
{(m cr *(ρ r -ρ t )/ρ r *ρ t ))*uρ a )}2)+{(m cr *(ρ a -ρ 0 ))2*[(u2ρ t /ρ4)}+m2 cr *(ρ a -ρ 0 )*[(ρ a -ρ 0 )-2(ρ a1 -
u' b 2 =
ρ 0 )]*(u2ρ r /ρ r 4)}

Where,
u' b = Uncertainty of air buoyancy correction of conventional mass
m cr = Conventional mass of reference weight in kg
ρr = Density of reference weight in kg/m3
ρt = Density of test weight in kg/m3
National Accreditation Board for Testing and Calibration Laboratories
Doc. No: NABL 122-02 Specific Criteria for Calibration Laboratories in Mechanical Discipline – Mass (Weights)
Issue No: 05 Issue Date: 12.08.2014 Amend No: 00 Amend Date: - Page No: 16 of 22
 ρa = Density of Air during calibration in kg/m3
ρ a1 = Density of Air during earlier calibration of reference wt in kg/m3
uρ r = Uncertainty in Density of reference weight in kg/m3
uρ t = Uncertainty in Density of test weight in kg/m3
uρ a = Uncertainty in Density of air in kg/m3
ρ0 = Density of air (conventional) 1.2 kg/m3

- In case where air buoyancy correction is estimated to be negligible i.e. if

C i ≤1/3*U/m 0.

- Even if the air buoyancy correction is negligible the uncertainty contribution

of the buoyancy effect may not be negligible and shall be taken into account if
u b ≥u c /3.

- For classes M 1 , M 2 and M 3 the uncertainty due to air buoyancy correction is

negligible and can usually be omitted.

- If the air density is not measured and the average air density for the site is
used, than the uncertainty for the air density is to be estimated as:
u(pa)= 0.12/√3.

- A lower value of uncertainty may be used if supporting data can be provided.

- At sea level the density of air shall be assumed to be 1.2.kg per m3.

- For class E weights, the density of air should be determined. Its uncertainty is
usually estimated from the uncertainties for temperature, pressure, and air
humidity. For class E 1 , the CIPM formula or an approximation can be used for
the calculation of air density.

Note: Where the air density is 1.2 kg/m3 within ±10%, conventional mass value
shall be used in calculation and true mass shall be calculated from
conventional mass (OIML R- 111 C.2.1.2).

2.12.3 True Mass with reference to Volume of the Reference and Test Weights

2.12.3.1 Equation for Determination of Mass

m tt = [m cr + (V t -V r )(ρ a )+ ∆m]

2.12.3.2 Equation for Determining the Uncertainty due to Air Buoyancy Correction

ub2 = (V t - V r )2*uρ a 2+ (uv t 2- uv r 2) * ρ a 2

Note: If, the volume is determined from known density and mass values and
their uncertainties, uncertainty of volume (uV t ) can be calculated by
the relation uV t = uρ t /ρ τ ∗V t for test weight and similarly for the
reference weight.

2.12.4 True Mass with reference to Density of the Reference and Test Weights

2.12.4.1 Equation for Determination of Mass

M tt = m tr (1+B)+∆m w

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Doc. No: NABL 122-02 Specific Criteria for Calibration Laboratories in Mechanical Discipline – Mass (Weights)
Issue No: 05 Issue Date: 12.08.2014 Amend No: 00 Amend Date: - Page No: 17 of 22
 Where,
M tt = True mass of test weight
m tr = True mass of reference weight
B= Buoyancy correction factor for true mass
∆ mw = Difference in weight by ABBA method

2.12.4.2 Buoyancy Correction Factor for Calibration of Mass on True Mass basis
B = [(ρ a )*(1/ρ t )-(1/ρ r )]

Where,
ρr = Density of reference weight in kg/m3
ρt = Density of test weight in kg/m3
ρa = Density of air in kg/m3

2.12.4.3 Equation for Calculation of Uncertainty in Buoyancy Correction in True Mass

{(m r *(ρ r -ρ t )/ρ r *ρ t ))*uρ a )} 2

+ {(m r *ρ a ) 2
*[(u2ρ t /ρ t 4)-
ub2 =
(u2ρ r /ρ r 4)]}

Where,
ub= Uncertainty in buoyancy correction in true mass
mr = Mass of reference weight in kg
ρr = Density of reference weight in kg/m3
ρt = Density of test weight in kg/m3
ρa = Density of air in kg/m3
uρ r = Uncertainty in density of reference weight in kg/m3
uρ t = Uncertainty in density of test weight in kg/m3
uρ a = Uncertainty in density of air in kg/m3

Note 1: As per the standard if the air density deviates from 1.2 kg/m3 by more
than 10%, true mass values shall be used for calculations and the
conventional mass shall be calculated from the true mass.

Note 2: True mass is required for the realization of force, pressure and torque
etc by using dead weights.

Note 3: Calibration of weights in terms of Newton, bar, pascal etc (local "g"
value shall be known to be sufficient accuracy).

2.12.4.4 Conversion from Conventional Mass to True Mass

1-ρ 0 /ρ c
mt = mc x
1-ρ 0 /ρ
Where,
mt = True mass
mc= Conventional mass
ρ0 = Density of conventional Air (1.2) in kg/m3
ρc = Conventional density of Mass (8000) in kg/m3
ρ= Density of mass in kg/m3

National Accreditation Board for Testing and Calibration Laboratories

Doc. No: NABL 122-02 Specific Criteria for Calibration Laboratories in Mechanical Discipline – Mass (Weights)
Issue No: 05 Issue Date: 12.08.2014 Amend No: 00 Amend Date: - Page No: 18 of 22
2.13 Measurement Uncertainty

2.13.1 Contribution of Uncertainty in Calibration of Weights:

The estimation of the uncertainty measurement for the weight calibrated by a laboratory shall
consider at least the following contributions.

(a) Repeatability-standard deviation of weighing result

(b) The contribution of the reference standard weight.
(c) The air buoyancy correction
(d) The uncorrected drift of the reference standard weight
(e) The resolution of the balance

2.13.2 Uncertainty Equation for Calibration Results

Type A Standard uncertainty,

Type B Standard uncertainty,

u c = √ (u 1 2+ u 2 2+ u 3 2+ u 4 2+ u 5 2)

Where,
u 1 = standard uncertainty associated with standard deviation of weighing
u 2 = Standard uncertainty associated with air buoyancy correction
u 3 = standard uncertainty associated with drift of the reference standard weight
u 4 = standard uncertainty associated with resolution of the comparator/balance
u 5 = Standard uncertainty associated with reference standard weight

Expanded uncertainty U = k x u c

Note: For k value, students t table is to be referred.

2.14 Reporting of Results

The calibration certificates issued to the customer shall be in accordance with clause 5.10 of
ISO/IEC/17025:2005. Apart from that it shall also include the following:

a. Thermal stabilization hours taken (as per 2.9.4.2) before calibration.

b. Specific calibration method followed (as per 2.10).
c. Density of Reference weight (whether assumed or measured).
d. Density of Test weight (whether assumed or measured).
e. Declaration that, the calibration certificate issued for weights/Mass used for scientific or
industrial purposes only.

2.15 Evaluation of CMC

2.15.1 Refer NABL 143 for CMC evaluation.

2.15.2 CMC value is not the same as expanded uncertainty reported in the calibration
Certificate/Report. CMC values exclude the uncertainties which are attributed to the DUC
(Device under calibration).
National Accreditation Board for Testing and Calibration Laboratories
Doc. No: NABL 122-02 Specific Criteria for Calibration Laboratories in Mechanical Discipline – Mass (Weights)
Issue No: 05 Issue Date: 12.08.2014 Amend No: 00 Amend Date: - Page No: 19 of 22
 2.15.3 For the purpose of CMC evaluation the following components should be considered:

• Repeatability-standard deviation of weighing result (for minimum 10 readings).

• Uncertainty of the reference standard weight.
• Drift in reference standard weight.
• Uncertainty due to air buoyancy correction.
• Uncertainty due to resolution of Balance.

2.16 Sample Scope

2.16.1 An illustrative example for right representation of scope

Laboratory: XYZ Date(s) of Visit:

Discipline: Mechanical

Parameter*/ Master Range(s) of Calibration and Measurement Capability ** Remarks+/

S. Device Equipment Measurement Method used
No under Used Claimed by Observed by Recommended
calibration Laboratory Assessor by Assessor
1. Mass – F1 Class 1 mg 0.02 mg 0.02 mg 0.02 mg Calibration of
Weights. Standard 2 mg 0.02 mg 0.02 mg 0.02 mg weights of Class
Weights 5 mg 0.02 mg 0.02 mg 0.02 mg F2 accuracy and
and Mass 10 mg 0.027 mg 0.027 mg 0.027 mg coarser as per
Comparator 20 mg 0.033 mg 0.033 mg 0.033 mg OIML R-111
(Readability 50 mg 0.04 mg 0.04 mg 0.04 mg
: 0.001mg) 100 mg 0.053 mg 0.053 mg 0.053 mg

* Only for Electro-technical discipline; scope shall be recommended parameter wise (where applicable) and the
ranges may be mentioned frequency wise.
** NABL 143 shall be referred for the recommendation of CMC
+
Remarks shall also include whether the same scope is applicable for site calibration as well. NABL 130 shall be
referred while recommending the scope for site calibration.

Signature, Date Signature, Date & Name of Assessor(s) Signature, Date & Name of Lead Assessor
& Name of Lab
Representative

Note: CMC value shall be reported in absolute value i.e. in mg only.

2.17 Minimum Requirement for Accreditation

2.17.1 Laboratory shall have minimum F2 class of reference Weights for the calibration below 20
kg along with appropriate comparator / balance. However, M1 class reference weights may
be used for calibration above 20 kg.

2.17.2 Demonstration of any CMC values doesn't automatically qualify for granting accreditation
until the lab satisfies the stipulated requirement given above.

National Accreditation Board for Testing and Calibration Laboratories

Doc. No: NABL 122-02 Specific Criteria for Calibration Laboratories in Mechanical Discipline – Mass (Weights)
Issue No: 05 Issue Date: 12.08.2014 Amend No: 00 Amend Date: - Page No: 20 of 22
2.18 Maximum Permissible Error & Uncertainty Chart

2.18.1 Permissible error for classification weights as per OIML R-111-1, 2004.
Note: For each weight expanded uncertainty U, for k=2 the conventional mass, shall be as per the standard less than or equal to one-
third of the maximum permissible error (U = 1/3 δm)
Class E1 E2 F1 F2 M1 M2 M3
Nominal Error Uncertainty Error Uncertainty Error Uncertainty Error Uncertainty Error Uncertainty Error Uncertainty Error Uncertainty
Value ± mg ± mg ± mg ± mg ± mg ± mg ± mg
5000 kg 25000 8333 80000 26667 250000 83333 800000 266667 2500000 833333
2000 kg 10000 3333 30000 10000 100000 33333 300000 100000 1000000 333333
1000 kg 1600 533 5000 1667 16000 5333 50000 16667 160000 53333 500000 166667
500 kg 800 267 2500 833 8000 2667 25000 8333 80000 26667 250000 83333
200 kg 300 100 1000 333 3000 1000 10000 3333 30000 10000 100000 33333
100 kg 160 53 500 167 1600 533 5000 1667 16000 5333 50000 16667
50 kg 25 8.3 80 27 250 83 800 267 2500 833 8000 2667 25000 8333
20 kg 10 3.3 30 10 100 33 300 100 1000 333 3000 1000 10000 3333
10 kg 5.0 1.7 16 5 50 17 160 53 500 167 1600 533 5000 1667
5 kg 2.5 0.8 8 3 25 8 80 27 250 83 800 267 2500 833
2 kg 1.0 0.3 3 1.0 10 3 30 10 100 33 300 100 1000 333
1 kg 0.5 0.2 1.6 0.5 5 2 16 5 50 17 160 53 500 167
500 g 0.25 0.08 0.8 0.3 2.5 1 8.0 3 25 8 80 27 250 83
200 g 0.10 0.03 0.3 0.10 1.0 0.3 3.0 1 10 3 30 10 100 33
100 g 0.05 0.02 0.16 0.05 0.5 0.2 1.6 0.5 5 2 16 5 50 17
50 g 0.03 0.01 0.10 0.03 0.3 0.1 1.0 0.3 3 1 10 3 30 10
20 g 0.025 0.01 0.08 0.03 0.25 0.1 0.8 0.3 2.5 1 8 3 25 8
10 g 0.020 0.01 0.06 0.02 0.20 0.1 0.6 0.2 2 1 6 2 20 7
5 g 0.016 0.01 0.05 0.02 0.16 0.1 0.5 0.2 1.6 1 5 2 16 5
2 g 0.012 0.004 0.04 0.01 0.12 0.04 0.4 0.1 1.2 0.4 4 1 12 4
1 g 0.010 0.003 0.03 0.01 0.10 0.03 0.3 0.1 1.0 0.3 3 1 10 3
500 g 0.008 0.003 0.025 0.008 0.08 0.03 0.25 0.1 0.8 0.3 2.5 1
200 g 0.006 0.002 0.020 0.007 0.06 0.02 0.20 0.1 0.6 0.2 2.0 1
100 mg 0.005 0.002 0.016 0.005 0.05 0.02 0.16 0.1 0.5 0.2 1.6 1
50 mg 0.004 0.001 0.012 0.004 0.04 0.01 0.12 0.04 0.4 0.1
20 mg 0.003 0.001 0.010 0.003 0.03 0.01 0.10 0.03 0.3 0.1
10 mg 0.003 0.001 0.008 0.003 0.025 0.01 0.08 0.03 0.25 0.1
5 mg 0.003 0.001 0.006 0.002 0.020 0.01 0.06 0.02 0.20 0.1
2 mg 0.003 0.001 0.006 0.002 0.020 0.01 0.06 0.02 0.20 0.1
1 mg 0.003 0.001 0.006 0.002 0.020 0.01 0.06 0.02 0.20 0.1

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Doc. No: NABL 122-02 Specific Criteria for Calibration Laboratories in Mechanical Discipline – Mass (Weights)
Issue No: 05 Issue Date: 12.08.2014 Amend No: 00 Amend Date: - Page No: 21 of 22
2.19 Calibration of Newton Weights, Pressure Balance Weights and Non-metric Weights

2.19.1 Weights used for realization of Pressure in Dead weight pressure balance or weights used for
realization of force in Newton are to be calibrated on true mass basis.

2.19.2 If, weights are calibrated on conventional mass basis equation for conversion from
conventional mass to true mass to be mentioned to enable the user to apply appropriate
buoyancy correction.

2.19.3 Newton or Force weights are typically of a slotted design or with a centre hole and are
typically marked with a nominal Force in Newton. Force is calculated with respect to Local
gravity ‘g L ’ during calibration using the formula given below:

F= m (1-ρ a /ρ m )*g LC [2.19.3a]

Where
F = Force in Newton
m = True Mass in Kg
ρ a = air density in kg/m3
ρ m = density of weights in kg/m3
g L = Local gravity in m/sec2 (value of ‘g’ at the customer’s site )

The force values can be converted either to the standard ‘g’ value or to the customer’s ‘g’
value using the formula given below:

To convert Force to standard ‘g’ value:

F= m (1-ρ a /ρ m )* g S /g LC [2.19.3b]

Where, g S = Standard gravity in m/sec2 (9.80665 m/sec2)

g LC = Local gravity in m/sec2 (value of ‘g’ at the site of calibration).

To convert Force to ‘g’ value at customer’s site:

F= m (1-ρ a /ρ m )*g L /g LC [2.19.3c]

Where, g L = Local gravity in m/sec2 (value of ‘g’ at the customer’s site)

This conversion can be done if; the customer provides ‘g’ value at his site.

2.19.4 When the customer requires the force weight with respect to his local ‘g’ value he has to
provide the same with uncertainty. Then the force value shall be calculated using the local
‘g’ value and declare in the certificate in terms mass value along with the calculated value in
Newton. ‘g’ value of the calibration laboratory shall also be known to sufficient accuracy.

2.19.5 The Laboratory may calibrate weights of non-metric units (e.g. Pound or Ounce etc.)
However, the results shall be reported in SI units like kg, g, mg, etc. along with the
calculated equivalent value in the non-metric unit or mention the conversion factor to be
used.

2.20 Key Points:

Demonstration of any CMC values doesn't automatically qualify for granting accreditation until the
lab satisfies the stipulated requirement given in this document.

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Doc. No: NABL 122-02 Specific Criteria for Calibration Laboratories in Mechanical Discipline – Mass (Weights)
Issue No: 05 Issue Date: 12.08.2014 Amend No: 00 Amend Date: - Page No: 22 of 22
National Accreditation Board for Testing and Calibration Laboratories
NABL House
Plot No. 45, Sector- 44,
Gurgaon – 122002, Haryana
Tel.: +91-124 4679700
Fax: +91-124 4679799
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